55358054400 has 336 divisors, whose sum is σ = 199703789568. Its totient is φ = 13418496000.

The previous prime is 55358054399. The next prime is 55358054407. The reversal of 55358054400 is 445085355.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55358054407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6754305 + ... + 6762495.

Almost surely, 2^55358054400 is an apocalyptic number.

55358054400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55358054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99851894784).

55358054400 is an abundant number, since it is smaller than the sum of its proper divisors (144345735168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55358054400 is a wasteful number, since it uses less digits than its factorization.

55358054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8241 (or 8212 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 39.

The spelling of 55358054400 in words is "fifty-five billion, three hundred fifty-eight million, fifty-four thousand, four hundred".